数学物理边值问题的双场拉格朗日乘子弱解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-11-10 DOI:10.3846/mma.2022.15827

Mariana Chivu Cojocaru, A. Matei

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引用次数: 1

摘要

提出了求解数学物理边值问题的一种新的变分方法。通过考虑双场拉格朗日乘子，我们给出了一个由混合变分问题组成的变分公式，该变分问题等价于鞍点问题。因此，我们提出的弱公式的唯一可解性是由鞍点理论控制的。本文还讨论了几种不同的变分公式及其联系。

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Weak solutions via two-field Lagrange Multipliers for boundary Value Problems in Mathematical Physics

A new variational approach for a boundary value problem in mathematical physics is proposed. By considering two-field Lagrange multipliers, we deliver a variational formulation consisting of a mixed variational problem which is equivalent with a saddle point problem. Thus, the unique solvability of the weak formulation we propose is governed by the saddle point theory. Alternative variational formulations and some of their connections are also discussed.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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